A comparison of conservative upwind difference schemes for the Euler equations

Numerical results are presented and compared for three conservative upwind difference schemes for the Euler equations when applied to two standard test problems. This includes consideration of the effect of treating part of the flux balance as a source, and a comparison of different averaging of the flow variables. Two of the schemes are also shown to be equivalent in their implementation, while being different in construction and having different approximate Jacobians. (C) 2006 Elsevier Ltd. All rights reserved.

Conservative upwind difference schemes for the Euler equations for real gas flows in a duct

In a recent paper [P. Glaister, Conservative upwind difference schemes for compressible flows in a Duct, Comput. Math. Appl. 56 (2008) 1787–1796] numerical schemes based on a conservative linearisation are presented for the Euler equations governing compressible flows of an ideal gas in a duct of variable cross-section, and in [P. Glaister, Conservative upwind difference schemes for compressible flows of a real gas, Comput. Math. Appl. 48 (2004) 469–480] schemes based on this philosophy are presented for real gas flows with slab symmetry. In this paper we seek to extend these ideas to encompass compressible flows of real gases in a duct. This will incorporate the handling of additional terms arising out of the variable geometry and the non-ideal nature of the gas.

Building a left coast: the legacy of the California Popular Front and the challenge to Cold War liberalism in the post-world war two era

The Cold War in the late 1940s blunted attempts by the Truman administration to extend the scope of government in areas such as health care and civil rights. In California, the combined weakness of the Democratic Party in electoral politics and the importance of fellow travelers and communists in state liberal politics made the problem of how to advance the left at a time of heightened Cold War tensions particularly acute. Yet by the early 1960s a new generation of liberal politicians had gained political power in the Golden State and was constructing a greatly expanded welfare system as a way of cementing their hold on power. In this article I argue that the New Politics of the 1970s, shaped nationally by Vietnam and by the social upheavals of the 1960s over questions of race, gender, sexuality, and economic rights, possessed particular power in California because many activists drew on the longer-term experiences of a liberal politics receptive to earlier anti-Cold War struggles. A desire to use political involvement as a form of social networking had given California a strong Popular Front, and in some respects the power of new liberalism was an offspring of those earlier battles.